Divide Mixed Numbers

Modelling division of mixed numbers

To model 3 2/3 divided by 1 2/3 you can use a number line.

What you're trying to find is how many sections of 1 1/3 there are in 3 2/3 .

This number line shows 3 2/3 divided into sections of 1 1/3. You'll see there are 2 whole sections and one partial section.

This model demonstrates that:

Divide mixed numbers by converting to multiplication

You can also divide mixed numbers by converting the problem to a multiplication question. To divide them you need to convert both mixed numbers to improper fractions.

Before a number can be changed to its reciprocal it must be an improper fraction.

Then invert the divisor (second fraction in the equation) and use multiplication.

Multiply the numerators, then the denominators.

Simplify by converting to a mixed number.

Always check to make sure your answer is in lowest terms.